Download Simplify the following 1. 7 2. 3. 4. 2x + 4y – 3x + 6y + 10x – 3y 5. 6

Algebra I Summer Assignment
Name ________________________________________
2015- 2016 Teacher___________________________________________
1. Completion of this summer assignment is a requirement of the course. You are responsible for
handing in the completed packet to your Algebra I teacher the first day of school. If you do NOT have
this completed by the first day of school, you will receive a zero for the assignment.
2.
The problems are designed as a review and to ensure your readiness for Algebra I. If you do not
know how to do some of these problems, utilize your resources (online book, websites, etc.) and/or
ask someone.
3. Allow several hours to complete this packet. Do not procrastinate.
4. You MUST SHOW ALL WORK under each problem and the work must be neat, organized and complete
to receive credit. Circle your answers.
5. It is important that you know how to do ALL of these problems.
Simplify the following
1.
7
2.
3.
4. 2x + 4y – 3x + 6y + 10x – 3y
5.
6. (
Write an algebraic expression that represents the following statements
7. The sum of a number a 4.
9. 4 less than a number.
8. The difference of a number and 4.
10. The product of 4 and a number.
15. A number squared.
11. The difference of a 4 and number.
16. A number cubed.
12. The quotient of a number and 4.
17. 4 more than the product of 6 and a
number.
13. Half of a number.
18. 5 multiplied by the quantity of 3 and
a number.
14. Twice a number.
Find the value of the following
21. 3 +
19.
when
22.
20.
23. (-7)(3) – (5)(-3)?
24. What is the order of the numbers
25. Find y when x = -6,
26. Evaluate
.
for
from least to greatest?
?
27. Write 510 in standard notation.
28. Write 510 in scientific notation.
29. Write 3624 in expanded form using exponents.
30. Write 62 . 33 in a standard form.
31. Cherie is laying square tiles on her square kitchen floor. She buys the tiles for $2 per
square foot tile. If her total estimated cost for the tiles is $288, what is the length of her
floor in feet?
32. Toby purchased 5 tickets online for a show. The tickets cost $12 each plus there was a
$3.50 service fee for the order. How much money did Toby spend for the tickets?
33. This week Lera withdrew $150 from her checking account. She wrote a check for $275,
made a deposit of $200, and then wrote another check for $75. She now has $185 in her
account. How much did Lera have in her account at the beginning of the week?
34. Tony is writing a book of short stories. It is his goal to write one short story this month,
two short stories next month, three short stories the following month, and so on for 13
more months. How many stories will he have written at the end of sixteen months?
35. Jack is taking his family to the fair. He plans to take $5 for each admission ticket plus
$35 for food. Write an equation that models the amount of money Jack takes to the fair.
36. Estimate the sum of $14.30, $143.08, and $19.74 by rounding to the nearest dollar.
37. Write an equation for the sentence: the difference of 6n and -5 is -13.
Simplify the following
38.
17
119
42.
7 1

12 4
39.
44
121
43.
7
2
20
40.
30
48
44.
5 21

13 26
41.
2 1

5 5
45.
4 2

5 5
46.
7 3

15 5
47.
9 2

16 3
52.
3 2

9 4
53. 4
5
3
11
48. 6  4
4
12
54.
2 1

5 8
5 2
49. 
7 3
55.
4
9
9
50.
3
56.   3
8
1
 64
2
1 3

9 4
Convert the following:
57.
51.
Fraction
Decimal
2.04
5 8

7 9
Percent
4
7
12
3. 3
135
0.6
1
9
58. Find the GCF of 15 and 27.
59. Find the LCM of 12 and 30.
60. Find the LCM of 15 and 27.
61. Find a four digit number that is divisible by 3, 5, and 8.
62. Graph the image of
ABC after a translation of 3 units left and 2 units up.
63. Graph the triangle with vertices A(-1,3), B(-3,-2), C(0,-1). Then graph its image after a
reflection across the y-axis.
10
0
-10
0
10
-10
64. Find the volume of the following figure. Use 3.14 for .
65. Find the perimeter.
Solve the following equations
69.
x3
 10
5
67. -2 + x = 8
70.
x
 3  10
5
68. 5 – x = 19
71. 9x + 12 = 39
66. 4x = 28
Draw a graph for the following Inequalities
72. p > 2
73. n < 5
74. -2 ≤ x
Solve each inequality and graph its solution
75. x – 1 > -5
78.
x
2
3
76. k + 2 < -6
79. -5v < 30
77. 2a ≥ 10
Write an inequality for each graph.
80.
82.
81.
83.